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This article is cited in 4 scientific papers (total in 4 papers)
On the Extrinsic Curvature and the Extrinsic Structure of Normal Developable $C^1$ Surfaces
I. Kh. Sabitov M. V. Lomonosov Moscow State University
Abstract:
It is proved that any normal $C^1$ surface developable in the sense of Shefel has zero extrinsic curvature in the sense of Pogorelov. A condition under which such a surface has a standard line of striction is obtained.
Keywords:
normal developable surface, extrinsic curvature, line of striction, conical surface, cylindrical surface, torsial surface.
Received: 26.08.2009 Revised: 10.10.2009
Citation:
I. Kh. Sabitov, “On the Extrinsic Curvature and the Extrinsic Structure of Normal Developable $C^1$ Surfaces”, Mat. Zametki, 87:6 (2010), 900–906; Math. Notes, 87:6 (2010), 874–879
Linking options:
https://www.mathnet.ru/eng/mzm8735https://doi.org/10.4213/mzm8735 https://www.mathnet.ru/eng/mzm/v87/i6/p900
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Abstract page: | 427 | Full-text PDF : | 91 | References: | 71 | First page: | 16 |
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